out of 106 total sophomores, there were forty - eight boys who received either an a, b, or c on their first…

out of 106 total sophomores, there were forty - eight boys who received either an a, b, or c on their first math test. out of the twenty - eight total a’s, sixteen girls received a’s. out of the total fifty - four b’s, thirty girls received b’s. twelve boys received a c out of the twenty - four total c’s on the test. which two - way table represents this information?

out of 106 total sophomores, there were forty - eight boys who received either an a, b, or c on their first math test. out of the twenty - eight total a’s, sixteen girls received a’s. out of the total fifty - four b’s, thirty girls received b’s. twelve boys received a c out of the twenty - four total c’s on the test. which two - way table represents this information?

Answer

Explanation:

Step1: Calculate number of boys with A

Total A's are 28, girls with A's are 16. So boys with A's are $28 - 16=12$.

Step2: Calculate number of boys with B

Total B's are 54, girls with B's are 30. So boys with B's are $54 - 30 = 24$.

Step3: Given number of boys with C

Given 12 boys received C.

Step4: Calculate total number of boys

Boys with A + B + C is $12+24 + 12=48$.

Step5: Calculate number of girls with C

Total C's are 24, boys with C's are 12. So girls with C's are $24 - 12=12$.

Step6: Calculate total number of girls

Total sophomores are 106, boys are 48. So girls are $106 - 48 = 58$.

Step7: Check totals for columns

Check A: $12 + 16=28$, B: $24+30 = 54$, C: $12+12=24$.

Answer:

The second two - way table (Boys: 12, 24, 12, 48; Girls: 16, 30, 12, 58; Total: 28, 54, 24, 106) represents the information.